Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 9852, 9856 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9852 and 9856 is 4.
GCF(9852,9856) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9852
2 | 9852 |
2 | 4926 |
3 | 2463 |
821 | 821 |
1 |
Prime factors of 9852 are 2,3,821. Prime factorization of 9852 in exponential form is:
9852 = 22×31×8211
Prime Factorization of 9856
2 | 9856 |
2 | 4928 |
2 | 2464 |
2 | 1232 |
2 | 616 |
2 | 308 |
2 | 154 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 9856 are 2,7,11. Prime factorization of 9856 in exponential form is:
9856 = 27×71×111
∴ So by taking common prime factors GCF of 9852 and 9856 is 4
Factors of 9852
List of positive integer factors of 9852 that divides 9852 without a remainder.
1,2,3,4,6,12,821,1642,2463,3284,4926,9852
Factors of 9856
List of positive integer factors of 9856 that divides 9856 without a remainder.
1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,128,154,176,224,308,352,448,616,704,896,1232,1408,2464,4928,9856
Greatest Common Factor
We found the factors and prime factorization of 9852 and 9856. The biggest common factor number is the GCF number.
So the greatest common factor 9852 and 9856 is 4.
Also check out the Least Common Multiple of 9852 and 9856
(i) The GCF of 9852 and 9856 is associative
GCF of 9852 and 9856 = GCF of 9856 and 9852
1. What is the GCF of 9852 and 9856?
Answer: GCF of 9852 and 9856 is 4.
2. What are the Factors of 9852?
Answer: Factors of 9852 are 1, 2, 3, 4, 6, 12, 821, 1642, 2463, 3284, 4926, 9852. There are 12 integers that are factors of 9852. The greatest factor of 9852 is 9852.
3. What are the Factors of 9856?
Answer: Factors of 9856 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 308, 352, 448, 616, 704, 896, 1232, 1408, 2464, 4928, 9856. There are 32 integers that are factors of 9856. The greatest factor of 9856 is 9856.
4. How to Find the GCF of 9852 and 9856?
Answer:
Greatest Common Factor of 9852 and 9856 = 4
Step 1: Find the prime factorization of 9852
9852 = 2 x 2 x 3 x 821
Step 2: Find the prime factorization of 9856
9856 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 9852 and 9856 is 4